100510101056061 has 24 divisors (see below), whose sum is σ = 146126186727456. Its totient is φ = 66570917994720.

The previous prime is 100510101056051. The next prime is 100510101056063. The reversal of 100510101056061 is 160650101015001.

100510101056061 is a `hidden beast` number, since 1 + 0 + 0 + 51 + 0 + 1 + 0 + 1 + 0 + 5 + 606 + 1 = 666.

It is not a de Polignac number, because 100510101056061 - 2¹³ = 100510101047869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100510101056063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8770135 + ... + 16671396.

It is an arithmetic number, because the mean of its divisors is an integer number (6088591113644).

Almost surely, 2^{100510101056061} is an apocalyptic number.

It is an amenable number.

100510101056061 is a deficient number, since it is larger than the sum of its proper divisors (45616085671395).

100510101056061 is a wasteful number, since it uses less digits than its factorization.

100510101056061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25444393 (or 25444390 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 100510101056061 in words is "one hundred trillion, five hundred ten billion, one hundred one million, fifty-six thousand, sixty-one".